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AP EAMCET202422 May 2024Morning ShiftMathematicsArea Under CurvesActual

The area (is sq. units) bounded by the curves x=y^2 and x=3-2 y^2 is

Options

  1. A8
  2. B8 3
  3. C4
  4. D6

Correct answer

C. 4

Step-by-step solution

x=y^2 and x=3-2 y^2 Solving for y, y^2=3-2 y^2 y= 1 aligned & Required Area & =2 ( ₀^1 x d x+ ₁^3 3-x 2 d x ) & = [ 4 3 x^ 3 / 2 ]₀^1- 2 2 3 [(3-x)^ 3 / 2 ]₁^3 & = & 4 3 - (0- 2 2 3 2^ 3 / 2 )= ( 4 3 + 8 3 )=4 aligned

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